Enumeration of small nonisomorphic 1-rotational twofold triple systems

• Main Authors: Royle, Gordon F., Chee, Yeow Meng
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2011
• Subjects: DRNTU::Science::Mathematics::Applied mathematics
• Online Access: https://hdl.handle.net/10356/91832; http://hdl.handle.net/10220/6940; http://www.jstor.org/stable/2153077
• Institution: Nanyang Technological University

In this paper, twofold triple systems of order v are enumerated for all v ≤ 19. The existence of TS(v , 2)'s (all terms are defined in §2) is completely settled; the condition v -0 or 1 (mod 3) is known to be both necessary and sufficient [4]. On the other hand, enumeration efforts hav...